It is thought that basketball teams that make too many fouls in a game tend to lose the game even if they otherwise play well. Let x be the number of fouls more than (i.e., over and above) the opposing team. Let y be the percentage of times the team with the larger number of fouls wins the game. x 0 2 5 6 y 49 44 33 26 Complete parts (a) through (e), given Σx = 13, Σy = 152, Σx2 = 65, Σy2 = 6102, Σxy = 409, and  r ≈ −0.987. (a) Draw a scatter diagram displaying the data.   (b) Verify the given sums Σx, Σy, Σx2, Σy2, Σxy, and the value of the sample correlation coefficient r. (Round your value for r to three decimal places.) Σx =   Σy =   Σx2 =   Σy2 =   Σxy =   r =   (c) Find x, and y. Then find the equation of the least-squares line  = a + bx. (Round your answers for x and y to two decimal places. Round your answers for a and b to three decimal places.) x =  y =    =  +  x (d) Graph the least-squares line. Be sure to plot the point (x, y) as a point on the line.         (e) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x and the least-squares line? What percentage is unexplained? (Round your answer for r2 to three decimal places. Round your answers for the percentages to one decimal place.) r2 =   explained      % unexplained      % (f) If a team had x = 4 fouls over and above the opposing team, what does the least-squares equation forecast for y? (Round your answer to two decimal places.) %

You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). 2 10 16 26 36 y 39 53 75 100 150 200 Complete parts (a) through (e), given Σχ92, Σy617, Σχ2336, Σγ282,455, Σχy = 13,634, and r = 0.995.

Q. Consider the following data and calculate the values of the following expressions. Show each step. X₁ 3 5 7 11 13 15 14 Y₁ 2 4 6 10 12 i) ΣX ² =1 X₁ 9 8

Sets. Find S

Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1004 975 992 935 983 922 y 40 100 65 145 78 150 Use a calculator to verify that Σx = 5811, Σx2 = 5,633,303, Σy = 578, Σy2 = 65,434 and Σxy = 552,689.COMPUTE R

You are the foreman of the Bar-S cattle ranch in Colorado. A neighboring ranch has calves for sale, and you are going to buy some calves to add to the Bar-S herd. How much should a healthy calf weigh? Let x be the age of the calf (in weeks), and let y be the weight of the calf (in kilograms). x 1 5 9 16 26 36  y 37 49 75 100 150 200  given Σx=93 Σy=611 Σx2=2335 Σy2=81895 Σxy =13657 and r =.9985  a) Find x and y. Then find the equation of the least squares line ^                                                Y=a+bx (round 4 decimals places)  x=y=  ^y=___+____x  b) Find the value of the coefficient of determination r2. What percentage of the variation in y can be explained by the corresponding variation in x ans the least squares line? What percentage is unexplained?(round your r2 four decimal places. Round your answers for the percentages to two decimal places.)  r2=___explained=___%unexplained=___%c) the calves you want to buy are 24 weeks old. What does the least squares line predict…

3. Caloulate r and ŕ for the data set. -5 -4 -3 -2 -10 1. 4. 9. Calculate r. (Round to four decimal places as needed.) Calculate r =(Round to four decimal places as needed.)

Below is a scatter plot of observations of 2 variables. Which statement is true? 20 15 10 5 0 -3 The covariance is negative The covariance is positive X and Y are independent The covariance is 0 -2 -1 0 X 1 2 13 3 4